(4x^2+24x+32)/(2x^2-2x-12)

The savings account offering which of these APRs and compounding periods

Ann [662]

Answer:

The answer is "Option C"

Step-by-step explanation:

The using formula $= (1+\frac{r}{n})^n -1$

→r = rate

→ n = compounded value

In choice a:

When compounded is monthly $4.0784\%$

$n = 12$

$\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403$

In choice b:

When compounded is quarterly $4.0792\%$

$n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102$

In choice c:

Whenn compounded is daily $4.0730 \%$

$n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328$

In choice d:

When compounded is semiannually $4.0798\%$

$n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066$

7 0

2 years ago

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Solve for y.<br> y y<br> —— = ——<br> P-9 P+9

Veronika [31]

9514 1404 393

Answer:

y = 0

Step-by-step explanation:

Subtracting the right side gives ...

$\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}$

The factor multiplying y cannot be zero, so y must be zero.

5 0

3 years ago

Simplify completely x^2+4x-45 / x^2+10x+9

S_A_V [24]

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

4 0

3 years ago

Find the perimeter of the following shape, round to the nearest tenth

dybincka [34]

Answer: you take the slope of the lines rise over run and add together

Step-by-step explanation:

3 0

2 years ago

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Which explanation can be used to derive the formula for the circumference of a circle?

Gelneren [198K]

Answer: The answer is the first explanation.

Step-by-step explanation: We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.

Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as

$\dfrac{\textup{C}}{\textup{d}}.$

Also, we know that

$\dfrac{\textup{C}}{\textup{d}}=\pi.$

And diameter of a circle is twice the radius, so

$d=2r.$

Therefore,

$\dfrac{\textup{C}}{2\textup{r}}=\pi\\\\\Rightarrow \textup{C}=2\pi \textup{r}.$

This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is

(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.

8 0

2 years ago